

A138545


Central moment sequence of tr(A^4) in USp(6).


2



1, 0, 3, 1, 27, 26, 385, 708, 7231, 20296, 164277, 608565, 4286161, 19021302, 123867107, 617758729, 3862576095, 20774382552, 127548675709, 720773229015, 4401180707397, 25709943020830, 157204921750191, 939751281408962
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OFFSET

0,3


COMMENTS

If A is a random matrix in the compact group USp(6) (6x6 complex matrices which are unitary and symplectic), then a(n)=E[(tr(A^4+1))^n] is the nth central moment of the trace of A^4, since E[tr(A^4)] = 1 (see A138544).


LINKS



FORMULA

mgf is A(z)=e^zF(z) where F(z) is the mgf of A138544.


EXAMPLE

a(5) = 26 because E[(tr(A^4)+1)^5] = 26 for a random matrix A in USp(6).


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



